Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 72 and 8.

**Answer**

$72=({2}^{3})({3}^{2})$

$8=({2}^{3})$

The LCM of 72 and 8 is the product of the largest powers of each prime factor in both.

Thus the LCM of 72 and 8

$=({2}^{3})({3}^{2})$

$=72$